Recursion representation of gradient expansion for free fermion ground state in one dimension

L. Šamaj, Jerome Percus

Research output: Contribution to journalArticle

Abstract

We consider noninteracting Fermion system in an external field, confined to one-dimensional space. Our main objective is to take advantage of low dimension to find explicitly potential-density profile as well as kinetic energy functional in the ground state. This is accomplished by deriving the complete x-space linear response and a simple recursion representation of the gradient expansion for the kinetic energy. The results can serve as a potential test for higher dimensions, e.g., in exploring convergence properties of the gradient expansion in various regions of the energy spectrum.

Original languageEnglish (US)
Pages (from-to)1809-1814
Number of pages6
JournalJournal of Chemical Physics
Volume111
Issue number5
StatePublished - Aug 1 1999

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Fermions
Kinetic energy
Ground state
fermions
kinetic energy
gradients
expansion
ground state
energy spectra
profiles

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

Cite this

Recursion representation of gradient expansion for free fermion ground state in one dimension. / Šamaj, L.; Percus, Jerome.

In: Journal of Chemical Physics, Vol. 111, No. 5, 01.08.1999, p. 1809-1814.

Research output: Contribution to journalArticle

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